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Finding the Fourth Proportional to 3,894.15, 5,826.60 and 3,683.15

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Solution

The fourth proportional to 3,894.15, 5,826.60 and 3,683.15 is: 5,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.15 : 5,826.60 = 3,683.15 : x
  2. Step 2: Convert to fraction form
    3,894.15/5,826.60 = 3,683.15/x
  3. Step 3: Cross multiply
    3,894.15x = 5,826.60 × 3,683.15
  4. Step 4: Simplify right side
    3,894.15x = 21,460,241.79
  5. Step 5: Solve for x
    x = 21,460,241.79/3,894.15
  6. Step 6: Final answer
    x = 5,510.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.